SOLUTION: I haven't done a problem like this for several years and I don't remember how to solve it! It's driving me crazy! Here is the problem: 1024=2^n-1. Solve for n. I don't rememb

Question 161664: I haven't done a problem like this for several years and I don't remember how to solve it! It's driving me crazy! Here is the problem:
1024=2^n-1. Solve for n.
I don't remember how to bring the exponent (n-1) down so that I can solve for n.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
There are at least two ways to solve this

Method #1:

Start with the given equation

Rewrite 1,024 as . This is possible since

Since the bases are equal (they are both 2), this means that the exponents are equal. So

Set the exponents equal to one another.

Add 1 to both sides.

Add.

So the answer is

=================================================

Method #2

Start with the given equation

Take the log of both sides.

Rewrite the right side using the identity

Divide both sides by

Evaluate to get 10

Add 1 to both sides.

Add.

So the answer is
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